陈帝伊, 杨朋超, 马孝义, 孙在涛. 水轮机调节系统的混沌现象分析及控制[J]. 中国电机工程学报, 2011, 31(14): 113-120. DOI: 10.13334/j.0258-8013.pcsee.2011.14.012
引用本文: 陈帝伊, 杨朋超, 马孝义, 孙在涛. 水轮机调节系统的混沌现象分析及控制[J]. 中国电机工程学报, 2011, 31(14): 113-120. DOI: 10.13334/j.0258-8013.pcsee.2011.14.012
CHEN Di-yi, YANG Peng-chao, MA Xiao-yi, SUN Zai-tao. Chaos of Hydro-turbine Governing System and Its Control[J]. Proceedings of the CSEE, 2011, 31(14): 113-120. DOI: 10.13334/j.0258-8013.pcsee.2011.14.012
Citation: CHEN Di-yi, YANG Peng-chao, MA Xiao-yi, SUN Zai-tao. Chaos of Hydro-turbine Governing System and Its Control[J]. Proceedings of the CSEE, 2011, 31(14): 113-120. DOI: 10.13334/j.0258-8013.pcsee.2011.14.012

水轮机调节系统的混沌现象分析及控制

Chaos of Hydro-turbine Governing System and Its Control

  • 摘要: 为深入研究水轮机调节系统的非线性动力学特征,分析刚性水击时水轮机调节系统非线性模型的复杂动力学特征,包括相轨迹图、Lyapunov指数和庞加莱映射图,这些特征加深了对其的认识,同时也证明该水轮机调节系统中含有混沌吸引子。为消除系统的混沌态,基于一种滑模变结构控制方法的数学分析论证推导,将处于混沌态的水轮机调节系统先后控制到任意固定点和任意周期轨道,并用MATLAB模拟验证其有效性。结果表明:该方法能够使系统严格地跟踪参考轨道,且具有过渡时间短、过渡平稳的优点,同时也为相关水轮机调节系统混沌态的有效控制提供了借鉴。

     

    Abstract: In order to study the nonlinear dynamics behavior of hydro-trubine governing system,the chaotic complex dynamic characteristics of hydraulic turbine governing system were analyzed,including the space trajectory,the Lyapunov exponent and the Poincare map.These characteristics indicate that the dynamical system contains chaotic attractor.In order to eliminate the chaotic vibration,the system could be controlled to any fixed point and any periodic orbit by means of sliding mode method and MATLAB simulations were presented to confirm the effectiveness of the controller.The results show that using sliding mode method can make the system track target orbit strictly and smoothly with short transition time.It also provides a reference for relevant chaos control in other hydraulic turbine governing.

     

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